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Finding the Fourth Proportional to 14,696.68, 20,277.30 and 13,957.96

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Solution

The fourth proportional to 14,696.68, 20,277.30 and 13,957.96 is: 19,258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.68 : 20,277.30 = 13,957.96 : x
  2. Step 2: Convert to fraction form
    14,696.68/20,277.30 = 13,957.96/x
  3. Step 3: Cross multiply
    14,696.68x = 20,277.30 × 13,957.96
  4. Step 4: Simplify right side
    14,696.68x = 283,029,742.31
  5. Step 5: Solve for x
    x = 283,029,742.31/14,696.68
  6. Step 6: Final answer
    x = 19,258.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.